AND xor OR


Problem Statement :


Given an array  of  distinct elements. Let  and  be the smallest and the next smallest element in the interval  where .

.

where , are the bitwise operators ,  and  respectively.
Your task is to find the maximum possible value of .

Input Format

First line contains integer N.
Second line contains N integers, representing elements of the array A[] .


Output Format

Print the value of maximum possible value of Si.



Solution :



title-img


                            Solution in C :

In C ++ :





#include <cmath>
#include <cstdio>
#include <vector>
#include <iostream>
#include <algorithm>
#include <stack>
using namespace std;


int main() {
   
    
    
    int n;
    cin>>n;
    
    int * arr;
    
    
    arr =  new int[n];
    
    
    for(int i=0;i<n;i++)cin>>arr[i];
    
    stack<int> S;
    
    int m = 0;
    
    for(int i=0;i<n;i++)
    {
        while(true)
        {
            if(S.empty())
            {
                S.push(arr[i]);
                break;
            }
            
            else if(S.top() < arr[i] )
            {
                m = max(m, S.top()^arr[i]);
                S.push(arr[i]);
                break;
            }
            else
            {
                S.pop();
            }
        }        
    }
    
    
    stack<int> S2;
    
    
    for(int i=n-1;i>=0;i--)
    {
        while(true)
        {
            if(S.empty())
            {
                S.push(arr[i]);
                break;
            }
            
            else if(S.top() < arr[i] )
            {
                m = max(m, S.top()^arr[i]);
                S.push(arr[i]);
                break;
            }
            else
            {
                S.pop();
            }
        }        
    }
    
    
    
    cout<<m<<endl;
    return 0;
}








In Java :




import java.io.*;
import java.util.*;
import java.text.*;
import java.math.*;
import java.util.regex.*;

public class Solution {

    public static void main(String[] args) {
        Scanner in = new Scanner(System.in);
        int n = in.nextInt();
        int[] arr = new int[n];
        for(int i = 0; i < n; i++){
            arr[i] = in.nextInt();
        }
        
        Stack<Integer> stack = new Stack<Integer>();
        int result = 0;
        for(int i = 0; i < n; i++){
            while(true){
                if(stack.isEmpty()){
                    stack.add(arr[i]);
                    break;
                } else if(stack.peek() < arr[i]){
                    result = Math.max(result, stack.peek() ^ arr[i]);
                    stack.add(arr[i]);
                    break;
                } else{
                    stack.pop();
                }
            }
        }
        stack = new Stack<Integer>();
        
        for(int i = n - 1; i >= 0; i--){
            while(true){
                if(stack.isEmpty()){
                    stack.add(arr[i]);
                    break;
                } else if(stack.peek() < arr[i]){
                    result = Math.max(result, stack.peek() ^ arr[i]);
                    stack.add(arr[i]);
                    break;
                } else{
                    stack.pop();
                }
            }
        }
        
        System.out.println(result);        
    }
}








In C :





#include <stdio.h>
#include <string.h>
#include <math.h>
#include <stdlib.h>

long long int sol(int A, int B)
{
	return (((A & B) ^ (A | B)) & (A ^ B));
}

long long int inter(long long int arr[], int n)
{
	int i,j;
	long long int min1 = 9999999999, min2 = 9999999999, max = -1;
	for(i=0;i<n-1;i++)
	{
			if(sol(arr[i], arr[i+1]) > max)
				max = sol(arr[i], arr[i+1]);
        if(i+2 <= n-1)
            if(arr[i+1] > arr[i] && arr[i+1] > arr[i+2] && sol(arr[i], arr[i+2]) > max)
                max = sol(arr[i], arr[i+2]);
		
	}
	return max;
	
}

int main()
{
    int n,i;
	scanf("%d", &n);
	long long int arr[n];
	for(i=0;i<n;i++)
	{
		scanf("%lli", &arr[i]);
	}
		printf("%lli", inter(arr, n));
    return 0;
}








In  Python3 :





n_elements = int(input())
data = list(map(int, input().split()))
assert len(data) == n_elements

res = 0
minima = [data[0]]
for i in range(1, n_elements):
    d = data[i]
    while len(minima):
        x = minima.pop()
        res = max(d ^ x, res)
        if x < d:
            minima.append(x)
            break
    minima.append(d)
print(res)
                        








View More Similar Problems

Insert a Node at the head of a Linked List

Given a pointer to the head of a linked list, insert a new node before the head. The next value in the new node should point to head and the data value should be replaced with a given value. Return a reference to the new head of the list. The head pointer given may be null meaning that the initial list is empty. Function Description: Complete the function insertNodeAtHead in the editor below

View Solution →

Insert a node at a specific position in a linked list

Given the pointer to the head node of a linked list and an integer to insert at a certain position, create a new node with the given integer as its data attribute, insert this node at the desired position and return the head node. A position of 0 indicates head, a position of 1 indicates one node away from the head and so on. The head pointer given may be null meaning that the initial list is e

View Solution →

Delete a Node

Delete the node at a given position in a linked list and return a reference to the head node. The head is at position 0. The list may be empty after you delete the node. In that case, return a null value. Example: list=0->1->2->3 position=2 After removing the node at position 2, list'= 0->1->-3. Function Description: Complete the deleteNode function in the editor below. deleteNo

View Solution →

Print in Reverse

Given a pointer to the head of a singly-linked list, print each data value from the reversed list. If the given list is empty, do not print anything. Example head* refers to the linked list with data values 1->2->3->Null Print the following: 3 2 1 Function Description: Complete the reversePrint function in the editor below. reversePrint has the following parameters: Sing

View Solution →

Reverse a linked list

Given the pointer to the head node of a linked list, change the next pointers of the nodes so that their order is reversed. The head pointer given may be null meaning that the initial list is empty. Example: head references the list 1->2->3->Null. Manipulate the next pointers of each node in place and return head, now referencing the head of the list 3->2->1->Null. Function Descriptio

View Solution →

Compare two linked lists

You’re given the pointer to the head nodes of two linked lists. Compare the data in the nodes of the linked lists to check if they are equal. If all data attributes are equal and the lists are the same length, return 1. Otherwise, return 0. Example: list1=1->2->3->Null list2=1->2->3->4->Null The two lists have equal data attributes for the first 3 nodes. list2 is longer, though, so the lis

View Solution →